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Volumn 252, Issue 1-3, 2004, Pages 7-41

Differential equations for Dyson processes

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EID: 11244288128     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1182-8     Document Type: Article
Times cited : (57)

References (20)
  • 1
    • 0033439997 scopus 로고    scopus 로고
    • The spectrum of coupled random matrices
    • Adler, M., van Moerbeke, P.: The spectrum of coupled random matrices. Ann. Math. 149, 921-976 (1999)
    • (1999) Ann. Math. , vol.149 , pp. 921-976
    • Adler, M.1    Van Moerbeke, P.2
  • 3
    • 0041637573 scopus 로고    scopus 로고
    • A Brownian-motion model for the eigenvalues of a random matrix
    • Dyson, F.J.: A Brownian-motion model for the eigenvalues of a random matrix. J. Math. Phys. 3, 1191-1198 (1962). [Reprinted in Selected Papers of Freeman Dyson with Commentary. Providence, RI: Am. Math. Soc. 1996, pp. 401-408]
    • (1962) J. Math. Phys. , vol.3 , pp. 1191-1198
    • Dyson, F.J.1
  • 4
    • 0041637573 scopus 로고    scopus 로고
    • Reprinted in. Providence, RI: Am. Math. Soc.
    • Dyson, F.J.: A Brownian-motion model for the eigenvalues of a random matrix. J. Math. Phys. 3, 1191-1198 (1962). [Reprinted in Selected Papers of Freeman Dyson with Commentary. Providence, RI: Am. Math. Soc. 1996, pp. 401-408]
    • (1996) Selected Papers of Freeman Dyson with Commentary , pp. 401-408
  • 5
    • 0032523672 scopus 로고    scopus 로고
    • Matrices coupled in a chain. I. Eigenvalue correlations
    • Eynard, B., Mehta, M.L.: Matrices coupled in a chain. I. Eigenvalue correlations. J. Phys. A: Math. Gen. 31, 4449-4456 (1998)
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 4449-4456
    • Eynard, B.1    Mehta, M.L.2
  • 6
    • 0033516823 scopus 로고    scopus 로고
    • Correlations for the orthogonal-unitary and symplectic-unitary transitions at the soft and hard edges
    • Forrester, P.J., Nagao, T., Honner, G.: Correlations for the orthogonal-unitary and symplectic-unitary transitions at the soft and hard edges. Nucl. Phys. B 553, 601-643 (1999)
    • (1999) Nucl. Phys. B , vol.553 , pp. 601-643
    • Forrester, P.J.1    Nagao, T.2    Honner, G.3
  • 7
    • 0001865474 scopus 로고
    • Sur la loi limite de l'espacement des valeurs propres d'une matric aléatoire
    • Gaudin, M.: Sur la loi limite de l'espacement des valeurs propres d'une matric aléatoire. Nucl. Phys. 25, 447-458 (1961); [Reprinted in Statistical Theories of Spectra: Fluctuations. C.E. Porter, (ed.), NY: Academic Press, 1965.]
    • (1961) Nucl. Phys. , vol.25 , pp. 447-458
    • Gaudin, M.1
  • 8
    • 0001865474 scopus 로고
    • Reprinted. NY: Academic Press
    • Gaudin, M.: Sur la loi limite de l'espacement des valeurs propres d'une matric aléatoire. Nucl. Phys. 25, 447-458 (1961); [Reprinted in Statistical Theories of Spectra: Fluctuations. C.E. Porter, (ed.), NY: Academic Press, 1965.]
    • (1965) Statistical Theories of Spectra: Fluctuations
    • Porter, C.E.1
  • 9
    • 0242592942 scopus 로고    scopus 로고
    • Discrete polynuclear growth processes and determinantal processes
    • Johansson, K.: Discrete polynuclear growth processes and determinantal processes. Commun. Math. Phys. 242, 277-329 (2003)
    • (2003) Commun. Math. Phys. , vol.242 , pp. 277-329
    • Johansson, K.1
  • 10
    • 11244308180 scopus 로고    scopus 로고
    • Random growth and determinantal processes
    • Sept.
    • Johansson, K.: Random growth and determinantal processes. MSRI lecture, Sept. 2002
    • (2002) MSRI Lecture
    • Johansson, K.1
  • 11
    • 11244267168 scopus 로고    scopus 로고
    • Private communication with the authors. April
    • Johansson, K.: Private communication with the authors. April, 2003
    • (2003)
    • Johansson, K.1
  • 12
    • 0041091819 scopus 로고
    • Universal parametric correlations in the transmission eigenvalue spectra of disordered conductors
    • Macêdo, A.M.S.: Universal parametric correlations in the transmission eigenvalue spectra of disordered conductors. Phys. Rev. B 49, 16841-16844 (1994)
    • (1994) Phys. Rev. B , vol.49 , pp. 16841-16844
    • Macêdo, A.M.S.1
  • 13
    • 0004163930 scopus 로고
    • San Diego: Academic Press, 2nd ed.
    • Mehta, M.L.: Random Matrices. San Diego: Academic Press, 2nd ed. 1991
    • (1991) Random Matrices
    • Mehta, M.L.1
  • 14
    • 0038806289 scopus 로고    scopus 로고
    • Correlation function of Schur process with applications to the local geometry of a random 3-dimensional Young diagram
    • Okounkov, A., Reshetikhin, N.: Correlation function of Schur process with applications to the local geometry of a random 3-dimensional Young diagram. J. Am. Math. Soc. 16, 581-603 (2003)
    • (2003) J. Am. Math. Soc. , vol.16 , pp. 581-603
    • Okounkov, A.1    Reshetikhin, N.2
  • 15
    • 0141450340 scopus 로고    scopus 로고
    • Scale invariance of the PNG droplet and the Airy process
    • Prähofer, M., Spohn, H.: Scale invariance of the PNG droplet and the Airy process. J. Stat. Phys. 108, 1071-1106 (2002)
    • (2002) J. Stat. Phys. , vol.108 , pp. 1071-1106
    • Prähofer, M.1    Spohn, H.2
  • 16
    • 27644532196 scopus 로고
    • Level-spacing distributions and the Airy kernel
    • Tracy, C.A., Widom, H.: Level-spacing distributions and the Airy kernel. Commun. Math. Phys. 159, 151-174 (1994)
    • (1994) Commun. Math. Phys. , vol.159 , pp. 151-174
    • Tracy, C.A.1    Widom, H.2
  • 17
    • 0003025563 scopus 로고
    • Fredholm determinants, differential equations and matrix models
    • Tracy, C. A., Widom, H.: Fredholm determinants, differential equations and matrix models. Commun. Math. Phys. 163, 38-72 (1994)
    • (1994) Commun. Math. Phys. , vol.163 , pp. 38-72
    • Tracy, C.A.1    Widom, H.2
  • 18
    • 0032163852 scopus 로고    scopus 로고
    • Correlation functions, cluster functions and spacing distributions for random matrices
    • Tracy, C.A., Widom, H.: Correlation functions, cluster functions and spacing distributions for random matrices. J. Stat. Phys. 92, 809-835 (1998)
    • (1998) J. Stat. Phys. , vol.92 , pp. 809-835
    • Tracy, C.A.1    Widom, H.2
  • 19
    • 3042655531 scopus 로고    scopus 로고
    • A system of differential equations for the Airy process
    • Tracy, C.A., Widom, H.: A system of differential equations for the Airy process. Elect. Commun. Probab. 8, 93-98 (2003)
    • (2003) Elect. Commun. Probab. , vol.8 , pp. 93-98
    • Tracy, C.A.1    Widom, H.2
  • 20
    • 0037471294 scopus 로고    scopus 로고
    • On some integrals over the U(N) unitary group and their large N limit
    • Zinn-Justin, P., Zuber, J.-B.: On some integrals over the U(N) unitary group and their large N limit. J. Phys. A: Math. Gen. 36, 3173-3193 (2003)
    • (2003) J. Phys. A: Math. Gen. , vol.36 , pp. 3173-3193
    • Zinn-Justin, P.1    Zuber, J.-B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.